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Finding the Fourth Proportional to 2,009.63, 2,771.08 and 1,380.47

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Solution

The fourth proportional to 2,009.63, 2,771.08 and 1,380.47 is: 1,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.63 : 2,771.08 = 1,380.47 : x
  2. Step 2: Convert to fraction form
    2,009.63/2,771.08 = 1,380.47/x
  3. Step 3: Cross multiply
    2,009.63x = 2,771.08 × 1,380.47
  4. Step 4: Simplify right side
    2,009.63x = 3,825,375.50
  5. Step 5: Solve for x
    x = 3,825,375.50/2,009.63
  6. Step 6: Final answer
    x = 1,903.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.